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Phys. Rev. Lett. 33, 1189–1192 (1974)

Transition to Turbulence of a Statically Stressed Fluid

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John B. McLaughlin and Paul C. Martin
Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

Received 22 August 1974; published in the issue dated 11 November 1974

The approach to and development of turbulence of low-Prandtl-number fluids in the Rayleigh-Bénard geometry is studied with truncated Boussinesq equations. Semiquantitative agreement is found with experimental results on helium for the turbulent threshold, and for the intensity and frequency spectrum of fluctuations at slightly higher Rayleigh numbers. It is argued that this transition conforms with abstract mathematical proposals of Ruelle and Takens, but that other transitions violate their picture.

© 1974 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.33.1189
DOI:
10.1103/PhysRevLett.33.1189
PACS: